45 is what percent of 30.3 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 30.3 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 30.3, so we can write it down as 100%=30.3.
4. We know, that x% equals 45 of the output value, so we can write it down as x%=45.
5. Now we have two simple equations:
1) 100%=30.3
2) x%=45
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=30.3/45
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 45 is what percent of 30.3

100%/x%=30.3/45
(100/x)*x=(30.3/45)*x       - we multiply both sides of the equation by x
100=0.67333333333333*x       - we divide both sides of the equation by (0.67333333333333) to get x
100/0.67333333333333=x
148.51485148515=x
x=148.51485148515

now we have:
45 is 148.51485148515% of 30.3